Variations of purity in Abelian group theory (Q1963999)
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scientific article; zbMATH DE number 1398628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variations of purity in Abelian group theory |
scientific article; zbMATH DE number 1398628 |
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Variations of purity in Abelian group theory (English)
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15 May 2000
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Generalising classical results on relative homological algebra, the author studies radicals in the category of Abelian groups and the corresponding notions of purity. He constructs injective and projective resolutions relative to various proper sequences. He also relates these concepts to dualities and completions in various topologies.
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relative homological algebra
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radicals
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purities
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categories of Abelian groups
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injective resolutions
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projective resolutions
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dualities
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completions
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